Free Printable Arithmetic Progressions

1.

1.In an Arithmetic Progression, if a=28, d=-4, n=7, then an is:

a)

(a) 4

b)

(b) 5

c)

(c) 3

d)

(d) 7

2.

2.If a=10 and d=10, then first four terms will be:

a)

(a) 10,30,50,60

b)

(b) 10,20,30,40

c)

(c) 10,15,20,25

d)

(d) 10,18,20,30

3.

3.The first term and common difference for the A.P. 3,1,-1,-3 is:

a)

(a)1 and 3

b)

(b)-1 and 3

c)

(c)3 and -2

d)

(d)2 and 3

4.

4.30th term of the A.P: 10,7, 4, …, is

a)

(a)97

b)

(b)77

c)

(c)-77

d)

(d)-87

5.

5.11th term of the A.P. -3, -1/2, ,2 …. Is

a)

(a)28

b)

(b)22

c)

(c)-38

d)

(d)-48

6.

6.The missing terms in AP: __, 13, __, 3 are:

a)

(a)11 and 9

b)

(b)17 and 9

c)

(c)18 and 8

d)

(d)18 and 9

7.

7. Which term of the A.P. 3, 8, 13, 18, … is 78?

a)

(a)12th

b)

(b)13th

c)

(c)15th

d)

(d)16th

8.

8.The 21st term of AP whose first two terms are -3 and 4 is:

a)

(a)17

b)

(b)137

c)

(c)143

d)

(d)-143

9.

9. If 17th term of an A.P. exceeds its 10th term by 7. The common difference is:

a)

(a)1

b)

(b)2

c)

(c)3

d)

(d)4

10.

10. The number of multiples of 4 between 10 and 250 is:

a)

(a)50

b)

(b)40

c)

(c)60

d)

(d)30

11.

Find the first term of the given sequence:

a₁₄=68

d=3

a)

14

b)

20

c)

26

d)

29

12.

Find the 22nd term. a₁=10, d=5

a)

115

b)

200

c)

10

d)

220

13.

What is the first positive term of the sequence: -9, -5, -1, .......

a)

5

b)

4

c)

3

d)

1

14.

Choose the correct answer from the given four options:
In an AP, if a = 3.5, d = 0, n =101 ,then a_n will be

a)

0

b)

3.5

c)

-3.5

d)

1

15.

Choose the correct answer from the given four options:
The 10th term of the AP: 5, 8, 11, 14, ... is

a)

32

b)

35

c)

38

d)

25

16.

43 is one of the term of the AP..3, 5, 7, ....determine which term is it

a)

19

b)

20

c)

21

d)

22

17.

Create the explicit formula for the sequence:
2, 8, 14, ...

a)

a_n=2+6n

b)

a_n=-6+6n

c)

a_n=6n-4

d)

a_n=4-6n

18.

Each individual number in a sequence of numbers is called what?

a)

Common difference

b)

Successive term

c)

Term

d)

Geometric term

19.

What is the common difference?
1213, 1172, 1131, 1090

a)

42

b)

41

c)

There is not one

d)

-41

20.

In an Arithmetic Progression, common difference d = 3, then t₅ - t₇ is equal to ____

a)

2

b)

-2

c)

6

d)

-6

21.

The following are Arithmetic Progressions, except

a)

12, 6, 3, ...

b)

4, 2, 0, ...

c)

x, x+2, x+4, ...

d)

$\frac{1}{2},\ 0,\ -\frac{1}{2},\ ...$

22.

To determine whether a sequence of numbers is an Arithmetic Progression, you can conduct a test on

a)

$T_1-T_2=T_3-T_2$

b)

$T_2-T_1=T_2-T_3$

c)

$T_2-T_1=T_3-T_1$

d)

$T_2-T_1=T_4-T_3$

23.

Given the AP 4, p, q, r, ... with a common difference of -2, determine the value of r.

a)

r = 0

b)

r = 1

c)

r = -2

d)

r = -4

24.

Given the AP 18, x, ... , -12, -14, determine the value of x.

a)

x = 17

b)

x = 16

c)

x = 14

d)

x = 12

25.

What is the formula for finding the value of the $n^{th}$ term of an AP?

a)

$T_n=a-\left(n+1\right)d$

b)

$T_n=d+\left(n-1\right)a$

c)

$T_n=a+\left(n+1\right)d$

d)

$T_n=a+\left(n-1\right)d$

26.

What is the formula for the $n^{th}$ term of the AP $\frac{2}{3},\ 1,\ \frac{4}{3},\ ...$

a)

$T_n=\frac{1}{3}\left(n-1\right)$

b)

$T_n=\frac{1}{3}\left(n+1\right)$

c)

$T_n=\frac{2}{3}\left(n+1\right)$

d)

$T_n=\frac{2}{3}\left(n-1\right)$

27.

Given the AP 5, 8, 11, ... , which term has the value of 272?

a)

88

b)

89

c)

90

d)

91

28.

$n^{th}$ term of an AP is given by $T_n=\ 2\ -3n$ , find the common difference.

a)

-3

b)

-4

c)

-5

d)

-6

29.

$10^{th}$ term of the AP y, y + 2, y + 4 , ... is 16, find the value of y.

a)

-4

b)

-2

c)

0

d)

2

30.

The 7^th term of an AP is 3 times the 2^nd term, find a relation between a and d.

a)

$a=\frac{3}{2}d$

b)

$a=\frac{2}{3}d$

c)

$a=\frac{1}{2}d$

d)

$a=3d$

31.

Which of the following are the formulae for finding the sum of the first n terms of an AP

a)

$T_n=\frac{n}{2}\left[a+L\right]$

b)

$S_n=\frac{n}{2}\left[a+L\right]$

c)

$T_n=S_n-S_{n-1}$

d)

$S_n=\frac{n}{2}\left[2a+\left(n-1\right)d\right]$

32.

How many terms of the AP 2, 7, 12, ... will add up to 156?

a)

7

b)

8

c)

9

d)

10

33.

What is the least number of terms of the AP $3,\ \frac{7}{2},\ 4,\ ...$ to be added to obtain a total greater than 40?

a)

4

b)

5

c)

6

d)

7

34.

The sum of the first 11^th term of an AP is 120, and the sum of the first 12^th term is 132. Find the value of the 12^th term.

a)

12

b)

-12

c)

32

d)

-32

35.

The first three terms of an AP are -2, -4, -6, .... Find the sum of the 25 terms after the 3^rd term.

a)

-812

b)

-800

c)

-788

d)

-650

36.

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

a)

32

b)

64

c)

127

d)

356

37.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

38.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

39.

What is the 15th term of the sequence an = -3n+50

a)

95

b)

-5

c)

5

d)

-95

40.

What is the 10th term of the sequence an = 20-2n

a)

40

b)

-20

c)

7

d)

0

41.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

42.

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

a)

Common denominator

b)

Common opposites

c)

Common domain

d)

Common difference

43.

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75

a)

Yes

b)

No

44.

Is the sequence : 1, ½, ⅓, ¼, ...... an Arithmetic Progression?

a)

YES.

b)

NO

45.

Sn = 1 +2 +3+.......+999
how many terms are there

a)

999

b)

1000

46.

-2, -5, -8, -11,.......find the T₆ (term no.6)

a)

T₆ = -14

b)

T₆ = -17

47.

Is the sequence : 1, ½, ⅓, ¼, ...... an Arithmetic Progression?

a)

YES.

b)

NO

48.

Choose the correct answer from the given four options:
In an AP, if d = –4, n = 7, a_n = 4, then a is

a)

6

b)

7

c)

20

d)

28

49.

Choose the correct answer from the given four options:
In an AP if a = –7.2, d = 3.6, a_n = 7.2, then n

a)

2

b)

3

c)

4

d)

5

50.

Choose the correct answer from the given four options:
The 21st term of the AP whose first two terms are –3 and 4 is

a)

17

b)

137

c)

-137

d)

127

51.

Which term of the AP: 21, 42, 63, 84,... is 210?

a)

9^th

b)

10^th

c)

11^th

d)

12^th

52.

If the common difference of an AP is 5, then what is a₁₈ – a₁₃ ?

a)

5

b)

15

c)

25

d)

10

53.

What is the common difference of an AP in which a₁₈ – a₁₄ = 32?

a)

4

b)

6

c)

8

d)

10

54.

If the 2nd term of an AP is 13 and the 5th term is 25, the common difference is

a)

12

b)

4

c)

3

d)

5

55.

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

a)

7

b)

11

c)

18

d)

0

56.

The 4th term from the end of the AP: –11, –8, –5, ..., 49 is

a)

37

b)

40

c)

43

d)

58

57.

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is

a)

0

b)

5

c)

6

d)

15

58.

The famous mathematician associated with finding the sum of the first 100 natural numbers is

a)

Euclid

b)

Newton

c)

Pythagoras

d)

Gauss

59.

The sum of first five multiples of 3 is

a)

45

b)

55

c)

15

d)

30

60.

The sum of first 100 natural number is

a)

5005

b)

5500

c)

5050

d)

1010

Arithmetic Progressions

Total questions: 60

Worksheet time: 3585secs

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